1.
If a2+b2+c2=2a^2 + b^2 + c^2 = -2 and f(x)=1+a2x(1+b2)x(1+c2)x(1+a2)x1+b2x(1+c2)x(1+a2)x(1+b2)x1+c2xf(x) = \begin{vmatrix} 1+a^2 x & (1+b^2)x & (1+c^2)x \\ (1+a^2)x & 1+b^2 x & (1+c^2)x \\ (1+a^2)x & (1+b^2)x & 1+c^2 x \end{vmatrix}, then f(x)f(x) is a polynomial of degree